{"id":"W2135033134","doi":"10.1090/s0002-9939-2014-12163-0","title":"A note on reductions of 2-dimensional crystalline Galois representations","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Modulo; Prime (order theory); Galois module; Galois group; Filtration (mathematics); Combinatorics; Constant (computer programming); Extension (predicate logic); Degree (music); Pure mathematics; Discrete mathematics; Physics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001072384,0.001010784,0.0007235018,0.001789381,0.001471014,0.002804627,0.0009469642,0.0008553271,0.0158692],"category_scores_gemma":[0.002359837,0.0004161048,0.001718756,0.001731744,0.002462673,0.004343949,0.003404207,0.003502931,0.004187289],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001481697,"about_ca_system_score_gemma":0.0006492693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001885563,"about_ca_topic_score_gemma":0.001507849,"domain_scores_codex":[0.9990072,0.0002886568,0.00005744424,0.0001569298,0.0003353217,0.0001545234],"domain_scores_gemma":[0.9993712,0.0003215357,0.00002988958,0.0001471469,0.0000827205,0.00004756077],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002354551,0.0000142392,0.00006670741,0.00003985713,0.000005735768,0.00007002119,0.0002700519,0.0005527678,0.000522056,0.9821031,0.005118011,0.01121392],"study_design_scores_gemma":[0.00001445559,0.00002624824,0.0001757929,0.00002081538,0.000007697872,0.0001144964,0.0001251247,0.001613333,0.001135278,0.9601228,0.03662409,0.00001991399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.09966473,0.004174934,0.2074018,0.006737496,0.003716589,0.0001406312,0.001408579,0.001537616,0.6752176],"genre_scores_gemma":[0.7408958,0.005190799,0.08782575,0.00331329,0.002202442,0.0003471384,0.00196471,0.001552912,0.1567071],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0158692,"threshold_uncertainty_score":0.05308777,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02007920342572522,"score_gpt":0.3123389347913307,"score_spread":0.2922597313656055,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}